Gieri Simonett (Vanderbilt University)
Date
Friday April 4, 20252:30 pm - 3:30 pm
Location
Jeffery Hall, Room 234Event Category
Math & Stats Department Colloquium
Friday, April 4, 2025
Time: 2:30 p.m. Place: Jeffery Hall, Room 234
Speaker: Gieri Simonett (Vanderbilt University)
Title: Fluid flow on surfaces
Abstract: I will consider the motion of a viscous, incompressible fluid on a surface (or, more generally, on a Riemannian manifold with or without boundary). In this context, one might think of an aqua planet. The fluid motion is described by the surface Navier-Stokes equations. What are these equations, and how does the fluid evolve? Interestingly, there is an intriguing connection between the long-time behavior of solutions and the existence of Killing vector fields. Numerical simulations will be shown to underscore theoretical predictions.